Other studies about epidemic processes, such as network reconstruction problem [1]}, aim to estimate a contact network from the viral observations in groups of individuals. Game formation approach is a tool to study the human decision making during the SIS epidemic process in networks [2]}, [3]}, [4]}, [5]}. The basic idea is that the agents in the network can protect itself or recover with some cost. Then there are investment games and the need to find proper protection strategies.
To study the social optimal vaccination policy, a population game framework is formulated and decentralized protection strategies are studied in [5]}. In [4]}, a zero-determined strategy is proposed into the vaccination game, to optimize the social costs.
